45 citations · 242 across the 24 of their papers we have counts for
13 papers · 1 filter
Correlations of primary fields in the critical Ising model
Dmitry Chelkak, Clément Hongler, Konstantin Izyurov
We prove convergence of renormalized correlations of primary fields, i. e., spins, disorders, fermions and energy densities, in the scaling limit of the critical Ising model in arb…
Ising model and s-embeddings of planar graphs
Dmitry Chelkak
We discuss the notion of s-embeddings of planar graphs carrying a nearest-neighbor Ising model. The construction of …
Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
Dmitry Chelkak, Sanjay Ramassamy
We provide a new description of the scaling limit of dimer fluctuations in homogeneous Aztec diamonds via the intrinsic conformal structure of a space-like maximal surface in the t…
Magnetization in the zig-zag layered Ising model and orthogonal polynomials
Dmitry Chelkak, Clément Hongler, Rémy Mahfouf
We discuss the magnetization in the -th column of the zig-zag layered 2D Ising model on a half-plane using Kadanoff-Ceva fermions and orthogonal polynomials techniques. Ou…
Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4)
Mikhail Basok, Dmitry Chelkak
Building upon recent results of Dubédat (see arXiv:1403.6076) on the convergence of topological correlators in the double-dimer model considered on Temperleyan approximations …
Planar Ising model at criticality: state-of-the-art and perspectives
Dmitry Chelkak
In this essay, we briefly discuss recent developments, started a decade ago in the seminal work of Smirnov and continued by a number of authors, centered around the conformal invar…